Consider the following production function: q equals 8 lk plus 5 upper l squared minus left parenthesis one third right parenthesis upper l cubed . given the following expressions for the marginal productivity of each input: mp subscript upper l baseline equals 8 upper k plus 10 upper l minus upper l squared and mp subscript upper k baseline equals 8 upper l assuming capital is plotted on the vertical axis and labor is plotted on the horizointal axis, determine the value of the marginal rate of technical substitution when k = 30 and l = 10. (round your answer up to two decimal places and include the proper sign.)

The following account balances at the beginning of january were selected from the general ledger of fresh bagel manufacturing​ company: work in process inventory ​$0 raw materials inventory $ 29 comma 000 finished goods inventory $ 40 comma 900 additional​ data: 1. actual manufacturing overhead for january amounted to $ 62 comma 600. 2. total direct labor cost for january was $ 63 comma 600. 3. the predetermined manufacturing overhead rate is based on direct labor cost. the budget for the year called for $ 255 comma 000 of direct labor cost and $ 382 comma 500 of manufacturing overhead costs. 4. the only job unfinished on january 31 was job no.​ 151, for which total direct labor charges were $ 5 comma 700 ​(1 comma 000 direct labor​ hours) and total direct material charges were $ 14 comma 400. 5. cost of direct materials placed in production during january totaled $ 123 comma 300. there were no indirect material requisitions during january. 6. january 31 balance in raw materials inventory was $ 35 comma 200. 7. finished goods inventory balance on january 31 was $ 35 comma 400. what is the cost of goods manufactured for​ january

Which of the following best describes the advantage of living in a suburban area? a. suburbs give people access to city jobs along with more living space. b. suburbs give people easy access to cultural attractions and high-paying jobs. c. suburbs have the widest availability of low-cost housing of any living area. d. suburbs have the lowest population density of any living area.

Powell company began the 2018 accounting period with $40,000 cash, $86,000 inventory, $60,000 common stock, and $66,000 retained earnings. during 2018, powell experienced the following events: sold merchandise costing $58,000 for $99,500 on account to prentise furniture store. delivered the goods to prentise under terms fob destination. freight costs were $900 cash. received returned goods from prentise. the goods cost powell $4,000 and were sold to prentise for $5,900. granted prentise a $3,000 allowance for damaged goods that prentise agreed to keep. collected partial payment of $81,000 cash from accounts receivable. required record the events in a statements model shown below. prepare an income statement, a balance sheet, and a statement of cash flows. why would prentise agree to keep the damaged goods?